Proper fibrations with Hilbert cube manifold fibers

DOI10.1016/0166-8641(81)90026-2zbMath0464.57010OpenAlexW1967031702MaRDI QIDQ1154159

T. A. Chapman

Publication date: 1981

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(81)90026-2

zbMATH Keywords

Hilbert cube manifoldinfinite simple homotopy typelocal triviality of Hurewicz fibrations with non-compact Q- manifold fibersproper fibration over ANRs

Mathematics Subject Classification ID

Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Topology of infinite-dimensional manifolds (57N20) Fiber bundles in algebraic topology (55R10) Fiber spaces in algebraic topology (55R05) Engulfing (57Q30)

Related Items (2)

Triviality of Simple Fiber-Preserving Actions of Tori on Hilbert-Cube-Fiber Bundles ⋮ Bounded Homotopy Equivalences of Hilbert Cube Manifolds

Cites Work

• Continuous selections. II
• Mappings between ANRs that are fine homotopy equivalences
• Hurewicz fiber maps with ANR fibers
• The homeomorphism group of a compact Hilbert cube manifold is an ANR
• Strongly regular mappings with compact ANR fibers are Hurewicz fiberings
• Deformations of spaces of imbeddings
• Shorter Notes: ANR's Admitting an Interval Factor are Q-Manifolds
• Deformation of Open Embeddings of Q-Manifolds
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